Is it possible to find same persons based on text analyzing?
The term you are looking for is stylometry, which is related to a technique in forensic linguistics called writeprint analysis. There are many different techniques to perform stylometric analysis, from the very basic 5-feature analysis classifying features such as the lexicon and idiosyncrasies unique to a person to more complex analysis utilizing neural networks and machine learning. Searching online for research papers focusing on stylometry should assist you in finding the best technique for the job.